Facebook has officially allowed mobile app developers to build an official Facebook Like button in the apps.
Facebook’s statement is:
• Starting today we will no longer approve custom like actions. Apps that currently use a custom like action must migrate to use the built-in like action in the next 90 days. We have updated the Platform Roadmap to reflect this change.
• A like may only be published when a person performs a like action. For example, if someone gives a movie a five-star rating in a movie app, that warrants a rated action rather than a like action.
• For more guidance on creating your own like buttons, please see our branding guidelines.
For more details, you can see it here.